Numerical Treatment of a Quasilinear Initial Value Problem With Boundary Layer
dc.authorid | Cimen, Erkan/0000-0002-7258-192X | |
dc.authorscopusid | 22133512500 | |
dc.authorscopusid | 35110362400 | |
dc.authorscopusid | 56082815700 | |
dc.authorscopusid | 6506398616 | |
dc.authorwosid | Cimen, Erkan/J-2065-2017 | |
dc.contributor.author | Cakir, Musa | |
dc.contributor.author | Cimen, Erkan | |
dc.contributor.author | Amirali, Ilhame | |
dc.contributor.author | Amiraliyev, Gabil M. | |
dc.date.accessioned | 2025-05-10T17:39:26Z | |
dc.date.available | 2025-05-10T17:39:26Z | |
dc.date.issued | 2016 | |
dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
dc.department-temp | [Cakir, Musa] Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey; [Cimen, Erkan] Yuzuncu Yil Univ, Dept Math, Fac Educ, TR-65080 Van, Turkey; [Amirali, Ilhame] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkey; [Amiraliyev, Gabil M.] Erzincan Univ, Fac Arts & Sci, Dept Math, TR-24000 Erzincan, Turkey | en_US |
dc.description | Cimen, Erkan/0000-0002-7258-192X | en_US |
dc.description.abstract | The paper deals with the singularly perturbed quasilinear initial value problem exhibiting initial layer. First the nature of solution of differential problem before presenting method for its numerical solution is discussed. The numerical solution of the problem is performed with the use of a finite-fitted difference scheme on an appropriate piecewise uniform mesh (Shishkin-type mesh). An error analysis shows that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Finally, numerical results supporting the theory are presented. | en_US |
dc.description.woscitationindex | Science Citation Index Expanded | |
dc.identifier.doi | 10.1080/00207160.2015.1076805 | |
dc.identifier.endpage | 1859 | en_US |
dc.identifier.issn | 0020-7160 | |
dc.identifier.issn | 1029-0265 | |
dc.identifier.issue | 11 | en_US |
dc.identifier.scopus | 2-s2.0-84945217550 | |
dc.identifier.scopusquality | Q3 | |
dc.identifier.startpage | 1845 | en_US |
dc.identifier.uri | https://doi.org/10.1080/00207160.2015.1076805 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14720/14892 | |
dc.identifier.volume | 93 | en_US |
dc.identifier.wos | WOS:000382333700004 | |
dc.identifier.wosquality | Q2 | |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis Ltd | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Singular Perturbation | en_US |
dc.subject | Exponentially Fitted Difference Scheme | en_US |
dc.subject | Shishkin Mesh | en_US |
dc.subject | Initial Layer | en_US |
dc.subject | Uniformly Convergence | en_US |
dc.title | Numerical Treatment of a Quasilinear Initial Value Problem With Boundary Layer | en_US |
dc.type | Article | en_US |